Discreteness criteria for isometric groups of real and complex hyperbolic spaces Ainong FangShanshuang Yang 30F4020H10discrete groupsdense groupsopen sets In this paper we give generalizations of the well-known discreteness criterion established by Joergensen to both real and complex hyperbolic isometric groups in all dimensions. Indiana University Mathematics Journal 2009 text pdf 10.1512/iumj.2009.58.3547 10.1512/iumj.2009.58.3547 en Indiana Univ. Math. J. 58 (2009) 1443 - 1456 state-of-the-art mathematics http://iumj.org/access/